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Mar13

# Types of Fractions: Proper, Improper, Fractions Equal to One

Today we will look at the classification of fractions: What types of fractions are there?

We can classify them according to the relationship between the numerator and denominator.

###### Proper Fraction

Those representing a number less than 1. And how are these fractions identified? All fractions that represent numbers less than 1 are characterized by having a numerator lower than the denominator. For example:

###### Improper Fraction

Those that represent numbers greater than 1. And how are these fractions identified? All fractions that represent numbers greater than 1 are characterized by a numerator greater than the denominator. For example:

###### Fractions equal to one

Those whose value equals 1. They are characterized by the numerator and denominator being equal.

###### Examples of Fraction Classification

Let’s look at some examples of classifying fractions:

$$\frac{25}{27}$$ < 1 because the numerator is less than the denominator: It is a proper fraction.

$$\frac{1}{2}$$ < 1 because the numerator is less than the denominator: It is a proper fraction.

$$\frac{5}{4}$$ > 1 because the numerator is greater than the denominator: It is an improper fraction.

$$\frac{180}{180}$$ = 1 because the numerator equals the denominator: It is a fraction equal to one.

$$\frac{36}{3}$$ > 1, because the numerator is greater than the denominator: It is an improper fraction.

$$\frac{6}{6}$$ = 1 because the numerator equals the denominator: It is a fraction equal to one.

$$\frac{4}{2}$$ > 1 because the numerator is greater than the denominator: It is an improper fraction.

$$\frac{10}{10}$$ = 1 because the numerator equals the denominator: It is a fraction equal to one.

$$\frac{200}{279}$$ < 1 because the numerator is less than the denominator: It is a proper fraction.

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